Mathematical model to optimize drilling-and-blasting operations in the process of open-pit hard rock mining

Purpose is to determine a function of the reduced expenditures connected with drilling-and-blasting operations, loading and hauling rock fragmentation depending upon cost machine-shift applied facility, its operation modes, hardness being blasted, used explosive, quality based developed optimization mathematical model. Methods. Method statistical evaluation natural blockiness structure as well by means explosive energy has been applied. Statistical studies have carried out concerning basic indices largeness block hardness. Purposely-designed experimental equipment for sampling analysis fracturing in process drilling rotary rig. The abovementioned supported representativeness sampling. Findings. distributions terms each bar length involving place within assembly depth compiled. Visual comparison data theoretical helped that closest correlation gamma distribution which differential two positive parameters. dependence defined between results total hard mining. Originality. A concept oversize crushing coefficient introduced; mined specific consumption derived. An alternative proposed changes parameters assumed relative predicted granulometric composition mass. Practical implications. Economic model target listed operations set constraints avoiding incorrect decisions. method makes it possible control at stage